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Finding the Third Proportional to 28,640 and 61,512.50

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Solution

The third proportional to 28,640 and 61,512.50 is: 132,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,640 : 61,512.50 = 61,512.50 : x
  2. Step 2: Convert to fraction form
    28,640/61,512.50 = 61,512.50/x
  3. Step 3: Cross multiply
    28,640x = 61,512.50 × 61,512.50
  4. Step 4: Simplify right side
    28,640x = 3,783,787,656.25
  5. Step 5: Solve for x
    x = 3,783,787,656.25/28,640
  6. Step 6: Final answer
    x = 132,115.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.